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Finding the Fourth Proportional to 427,423.20, 641,134.80 and 407,740.20

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Solution

The fourth proportional to 427,423.20, 641,134.80 and 407,740.20 is: 611,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,423.20 : 641,134.80 = 407,740.20 : x
  2. Step 2: Convert to fraction form
    427,423.20/641,134.80 = 407,740.20/x
  3. Step 3: Cross multiply
    427,423.20x = 641,134.80 × 407,740.20
  4. Step 4: Simplify right side
    427,423.20x = 261,416,431,578.96
  5. Step 5: Solve for x
    x = 261,416,431,578.96/427,423.20
  6. Step 6: Final answer
    x = 611,610.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.